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Finding the Fourth Proportional to 4,980, 7,470.54 and 1,902

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Solution

The fourth proportional to 4,980, 7,470.54 and 1,902 is: 2,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980 : 7,470.54 = 1,902 : x
  2. Step 2: Convert to fraction form
    4,980/7,470.54 = 1,902/x
  3. Step 3: Cross multiply
    4,980x = 7,470.54 × 1,902
  4. Step 4: Simplify right side
    4,980x = 14,208,967.08
  5. Step 5: Solve for x
    x = 14,208,967.08/4,980
  6. Step 6: Final answer
    x = 2,853.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.